Remembering	Define what is meant by a 'linear sequence'. Is 4, 7, 10, 13, 16, ... a linear sequence? Is 1, 2, 4, 8, 16, ... a linear sequence?
Understanding	What do we mean by the nth term of a linear sequence? Complete the missing value in the sequence 5, 11, --, 23, 29, ... Continue the sequence 2.2, 2.6, 2.8, -- , --, -- ,
Applying	How would you go about finding the position-to-term (nth term) rule for the linear sequence with third term 11, fifth term 19 and tenth term 39?
Analysing	What do you look for in the values of a sequence to help you find the nth term?
Evaluating	The term-to-term rule for a sequence is 'previous term + 2'. What does that tell you about the position-to-term rule? Do you have enough information to find the rule for the nth term? Why or why not? A sequence has the nth term 3n + 2. What does the 3 tell you? What does the +2 tell you?
Creating	Create three different linear sequences where the 5th term term is 13.

Investing:

This is useful because linear sequences are very common in everyday life although we don't always see them as such.
Here are some functional (real-life) examples:
- The Fridays in October 2012 fall on the 5th, 12th, 19th and 26th of the month
- You need to take some tablets every six hours starting at 7a.m.
- Concert tickets cost £17 each plus a single £3 booking fee
- The number of batteries we need to pack for our expedition is three per group member, plus six spares.
This skill leads to linear functions and graphs, quadratic sequences, exponential functions
A 'free gift' with this skill is that we will be better able to work with
This could help you if you want to work in...

Preparing:

[design and insert an excel random question generator for + and - of natural numbers, simple decimals and ±integers]

Before you start you need to know that letters can be used to stand for numbers that may change
You will have a deeper understanding if you also know the conventions for writing algebra.

Here are some examples of people getting it right:
Here are some examples of people getting it wrong in typical ways:
Here are some more examples. Did they get it right or wrong? Explain how you know!

Some straightforward examples.
Some harder examples.
Some mixed examples.
Some non-examples to spot and some mixed questions with redundant, insufficient or contradictory data.
You can demonstrate fluency by at least...

level

assessments

Try the second and third pages of the kangaroo level ladder test [opens as a Word document]
Show you understand by explaining...
Prove you're an expert in... by...

last edited: Sep 29, 2012 1:53 pm